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3 years ago

Work out the length of the following rectangles

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

Explanation:

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

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Answer:

3/7 is the slope and -5 is the y intercept

Step-by-step explanation:

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3/7 is the slope and -5 is the y intercept

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3 years ago

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A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of x and y? Just

lara [203]

Answer:

m∠y=50°

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Step-by-step explanation:

we know that

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and

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therefore

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3 years ago

Help asap pls!!! Put steps if possible 3

GarryVolchara [31]

Answer:

i. 15.4

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Step-by-step explanation:

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2 years ago

If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom

ipn [44]

Answer:

The fraction is $\frac{7}{1}$

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = $\frac{x}{y}$

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes : $\frac{x+2}{y+1}=\frac{3}{4}$

$4(x+2)=3(y+1)$

$4x+8=3y+3$

$4x-3y+5=0$ ----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes : $\frac{x-2}{y-1}=\frac{1}{2}$

$2(x-2)=y-1$

$2x-4=y-1$

$2x-y-3=0$ ---- 2

Substitute the value of y from 2 in 1

$4x-3(2x-3)+5=0$

$4x-6x+9+5=0$

$14=2x$

$7=x$

Substitute the value of x in 2

$2(2)-y-3=0$

$4-3=y$

$1=y$

So, Fraction = $\frac{x}{y}=\frac{7}{1}$

Hence The fraction is $\frac{7}{1}$

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3 years ago

Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid

hoa [83]

Answer:

The surface area of the rectangular pyramid is $SA=109.50\ m^{2}$

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

$SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]$

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$SA=109.50\ m^{2}$

6 0

3 years ago